2³ × 3² × 5 × 43

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 51,480

Proper Divisor Sum 36,000

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #15473 ← → #15493

Radix Representation

Decimal	15480
Binary	11110001111000 (14 bits)
Octal	0o36170
Hexadecimal	0x3C78

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1,032 1,290 1,548 1,720 1,935 2,580 3,096 3,870 5,160 7,740 15,480

Collatz Trajectory (146 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

15,480 7,740 3,870 1,935 5,806 2,903 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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